This is
a translation
of the paper "Über das Gravitationsfeld einer Kugel aus
incompressiebler Flüssigkeit nach der Einsteinschen Theorie" published
by Karl Schwarzschild, in Sitzungsberichte der Königlich
Preussischen
Akademie der Wissenschaften,
1916, S.424-435. Here Schwarzschild
expounds his previously obtained metric for the spherically
symmetric
gravitational ﬁeld produced by a point-mass, to
the case
where the source of the ﬁeld is represented by
a sphere
of incompressible ﬂuid. Schwarzschild formulates the physical
condition of degeneration of such a ﬁeld. Translated from
the German in 2008 by Larissa Borissova and Dmitri Rabounski.